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- Based on Julie's Semester 1 Mathematics 1 Quiz scores, the probability that Julie obtains a perfect score on a Quiz is 0.7. Julie completes the first six quizzes in Semester 2. The probability that Julie obtains a perfect score of 6 for the first time with her fifth quiz is:The probability of a number cube landing on 5 is 1/6. If a number cube is tossed 72 times, how many times can it be expected to land on 5?The probability that a certain kind of component will survive a shock test is ¾. Find the probability that exactly 3 of the next 4 components tested survivebability that a certain kind of component will survive a shock test is ¾. Find the probability that exactly 3 of the next 4 components tested survive
- The probability that a student passes mathematics is 2/3 and the probability that he passes biology is 3/4. if the probability of passing both courses is 1/2, what is the probability that he will pass either one of the courses?The probability that a certain plant will survive in the month of July is 2/5, and the probability that it will still live up to August is 4/11. Find the probability that this plant will still alive in August.A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he will pass Calculus 2 and Engineering Data Analysis is 2/3and 4/9, respectively. What is the probability that he will pass both courses if the probability of passing at least one course is 4/5.
- SOLVE THIS PROBLEM. A square with a side length of 12 inches has five congruent rectangles cut out of it, each rectangle having the dimensions of 3 inches by 5 inches. Find the probability that a point selected at random within the square region will also be in the shaded area.Solve.Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
- A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.6 and if she has bad luck one time, then she has good luck the next time with probability 0.55. What fraction of the time in the long run does the poker player have good luck?Find the probability that when a gardener plants 20 seeds, she harvests 16 radishes given the probability that a radish seed will germinate is 0.5Side-by-Side The battery manufacturer Varta sells a car battery with 800 Find the probability that 9 or fewer cars will start. cold-cranking amps and advertises great performance even in bitterly cold weather. Varta claims that after sitting on a (Use decimal notation. Use Appendix Table 1. Give your answer to four decimal places.) frozen Minnesota lake for 10 days at temperatures below 32°F, this battery will still have enough power to start a car. Suppose the actual probability of starting a car following this experiment is 0.75, and 15 randomly selected cars probability: (equipped with this battery) are subjected to these grueling conditions.